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Finding the Third Proportional to 183,296 and 283,810

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Solution

The third proportional to 183,296 and 283,810 is: 439,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,296 : 283,810 = 283,810 : x
  2. Step 2: Convert to fraction form
    183,296/283,810 = 283,810/x
  3. Step 3: Cross multiply
    183,296x = 283,810 × 283,810
  4. Step 4: Simplify right side
    183,296x = 80,548,116,100
  5. Step 5: Solve for x
    x = 80,548,116,100/183,296
  6. Step 6: Final answer
    x = 439,442.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.